Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
:
R
→
R
f:\mathbb R \to \mathbb R
f
:
R
→
R
be defined by
f
(
x
)
=
k
x
+
1
f(x)=kx+1
f
(
x
)
=
k
x
+
1
where
k
∈
R
k\in\mathbb R
k
∈
R
, and let
g
:
[
0
,
∞
)
→
R
g:[0,\infty)\to\mathbb R
g
:
[
0
,
∞
)
→
R
be defined by
g
(
t
)
=
t
g(t)=\sqrt t
g
(
t
)
=
t
. For which value(s) of
k
k
k
is the composition
g
∘
f
g\circ f
g
∘
f
defined for every real
x
x
x
? a)
k
≥
0
k\ge 0
k
≥
0
b)
k
≤
0
k\le 0
k
≤
0
c)
k
=
0
k=0
k
=
0
d) No real
k
k
k
satisfies the requirement
Browse the problem library